Interaction of two-dimensional impulsively started airfoils

Continuous vortieity panels were used to model general unsteady inviscid, incompressible, two-dimensional flows. The geometry of the airfoil was approximated by series of short straight segments having endpoints that lie on the actual surface. A piecewise linear, continuous distribution of vorticity over the airfoil surface was used to generate disturbance flow. The no-penetration condition was imposed at the midpoint of each segment and at discrete times. The wake was simulated by a system of point vortices, which moved at local fluid velocity. At each time step, a new wake panel with uniform vortieity distribution was attached to the trailing edge, and the condition of constant circulation around the airfoil and wake was imposed. A new expression for Kutta condition was developed to study the interference effect between two impulsively started NACA0012 airfoils. The tandem arrangement was found to he the most effective to enhance the lift of the rear airfoil. The interference effect between tidal turbine blades was shown clearly.     

Multigrid fictitious boundary method for incompressible viscous flows around moving airfoils

In this paper, an efficient multigrid fictitious boundary method (MFBM) coupled with the FEM solver package FEATFLOW was used for the detailed simulation of incompressible viscous flows around one or more moving NACA0012 airfoils. The calculations were carried on a fixed multigrid finite element mesh on which fluid equations were satisfied everywhere, and the airfoils were allowed to move freely through the mesh. The MFBM was employed to treat interactions between the fluid and the airfoils. The motion of the airfoils was modeled by Newton-Euler equations. Numerical results of experiments verify that this method provides an efficient way to simulate incompressible viscous flows around moving airfoils.     

Experimental investigation of wing-in-ground effect with a NACA6409 section

The aerodynamic characteristics of NACA6409 in the vicinity of the ground were experimentally studied in a wind tunnel. Lift and drag forces, the pitching moment, and the center of pressure were measured with respect to various major aerodynamic parameters, such as the ground clearance, the angle of attack, the aspect ratio (AR), and the endplate type, which resulted in a total number of 420 conditions. In addition, a smoke trace test was conducted to visualize the flow pattern around NACA6409 in the vicinity of the ground. As a result of the ground effect and the influence of the endplate, the lift-to-drag ratio increased at low ground clearance and the center of pressure moved forward to the leading edge; that is, the endplate and ground effects were equivalent to the aerodynamic advantage that results from increasing the AR of the wing. Extended experimental results are useful for understanding the aerodynamic characteristics influenced by each aerodynamic parameter during ground effect as well as for verifying numerical simulation.     

振动翼推进性能计算及试验研究

采用非定常边界元法基于格林定理构建振动翼计算模型,讨论相关的构建过程、程序结构;采用时变尾涡面和时间步进法在时域中处理振动翼的尾涡存储效应,在尾涡面上应用等压Kutta条件并通过New-ton-Raphson法进行迭代求解,对在无限域中的振动翼水动力特性进行计算和研究;通过数值计算结果与试验数据对比,证实本方法的有效性。     

Influence on the hydrodynamic performance of a variable vector propeller of different rules of pitch angle change

To design a more effective blade pitch adjustment mechanism,research was done on changes to the hydrodynamic characteristics of VVPs(Variable Vector Propeller) caused by different rules for changing pitch angle. A mathematical method for predicting the hydrodynamic characteristics of a VVP under unsteady conditions is presented based on the panel method. Mathematical models for evaluation based on potential flow theory and the Green theorem are also presented. The hydrodynamic characteristics are numerically predicted. To avoid gaps between panels,hyperboloidal quadrilateral panels were used. The pressure Kutta condition on the trailing edge of the VVP blade was satisfied by the Newton-Raphson iterative procedure. The influence coefficients of the panels were calculated by Morino's analytical formulations to improve numerical calculation speed,and the method developed by Yanagizawa was used to eliminate the point singularity on derivation calculus while determining the velocities on propeller surfaces. The calculation results show that it's best for the hydrodynamic characteristics of the VVP that pitch angle changes follow the sine rule.     

一种计算水翼水动力的三维面元法

本文用Rankine奇点面元法计算了深、浅水中三维水翼的定常升力绕流。水翼的厚度和升力效应分别以水翼表面分布的Rankine源和法向偶极子来模拟,在自由表面上也分布Rankine源,通过满足相应的边界条件和尾缘处的Kutta条件求出这些奇点强度。以在自由表面下作小攻角定常运动的水翼为例进行了计算,计算结果与试验结果和其他计算结果作了比较。     

近地、水面时的飞行器动态稳定特性数值模拟

基于非结构动态网格重构技术,采用SA模型以及VOF方法,分别对NACA0012二维翼型自由空间、近地效应以及近水面效应的非定常运动流场进行了数值计算分析,并根据建立的基于小幅度强迫振动的组合动导数辨识方法计算了各个攻角下动导数。计算结果分析表明动导数计算方法准确可靠;中小攻角下,地面与水面以管道效应影响流场,均损失了动态阻尼,柔性的水面损失更多,动导数绝对值更小;大攻角时,两者表现为阻塞效应,柔性水面下的动态阻尼增大,动导数绝对值也变大;相比地面效应,柔性的水面影响范围更广。     

A dissipative free-surface approach for an underwater body in a uniform stream

A dissipative free-surface approach is applied to the potential flow problem with respect to a hydrofoil in a two-dimensional uniform stream. A dissipative source-based panel method is developed for a NACA foil problem with its trailing edge being a stagnation point, and also for a symmetric Joukowski foil problem with its trailing edge being a non-stagnation point. To facilitate the understanding of the further application of the dissipative free-surface approach, an underwater mathematical body model is presented. Numerical simulation with respect to the body in a three-dimensional uniform stream is provided from an analytic formulation obtained by the dissipative free-surface technique.     

风力机叶片翼型气动特性数值模拟

针对NACA63-215翼型绕流流动建立了二维可压缩湍流模型,利用商业软件NU-MECA进行了相应的数值模拟计算.湍流粘度分别采用基于RANS的Spalart-Allmaras和Baldwin-Lomax两种湍流模型来处理,得出了雷诺数为3×106时,翼型NACA63-215的升力系数和阻力系数随来流攻角的变化关系及压力分布图,并与试验数据进行对比.研究结果表明:Spalart-All-maras湍流模型比Baldwin-Lomax湍流模型在预测翼型失速后气动性能方面更加有效,Spalart-Allmaras湍流模型在大攻角下较易收敛且计算出的翼型气动性能与试验值更接近.     

Numerical solutions for a two-dimensional airfoil undergoing unsteady motion

Continuous vorticity panels are used to model general unsteady inviscid, incompressible, and two-dimensional flows. The geometry of the airfoil is approximated by series of short straight segments having endpoints that lie on the actual surface. A piecewise linear, continuous distribution of vorticity over the airfoil surface is used to generate disturbance flow. The no-penetration condition is imposed at the midpoint of each segment and at discrete times. The wake is simulated by a system of point vortices, which move at local fluid velocity. At each time step, a new wake panel with uniform vorticity distribution is attached to the trailing edge, and the condition of constant circulation around the airfoil and wake is imposed. A new expression for Kutta condition is developed to study (i) the effect of thickness on the lift build-up of an impulsively started airfoil, (ii) the effects of reduced frequency and heave amplitude on the thrust production of flapping airfoils, and (iii) the vortex-airfoil interaction. This work presents some hydrodynamic results for tidalstream turbine.     

Prediction of Hydrodynamic Performance of Marine Propellers by Surface Panel Method

The potential based low order surface panel method is used to predict the hydrodynamic performance of marine propellers. In present method the hyperboloidal quadrilateral panels are employed to avoid the gap between the panels. The influencecoefficients of panels are calculated by Morino's analytical formulations for increasing numerically calculating speed.The pres-sure Kutta condition is satisfied on the trailing edge of propeller blade by Newton-Raphson iterative procedure.Therefore the     

A method for numerical calculation of propeller hydrodynamics in unsteady inflow

The hydrodynamic performance of a propeller in unsteady inflow was calculated using the surface panel method. The surfaces of blades and hub were discreted by a number of hyperboloidal quadrilateral panels with constant source and doublet distribution. Each panel's corner coordinates were calculated by spline interpolation between the main parameter and the blade geometry of the propeller. The integral equation was derived using the Green Formula. The influence coefficient of the matrix was calculated by the Morino analytic formula. The tangential velocity distribution was calculated with the Yanagizawa method, and the pressure coefficient was calculated using the Bonuli equation. The pressure Kutta condition was satisfied at the trailing edge of the propeller blade using the Newton-Raphson iterative procedure, so as to make the pressure coefficients of the suction and pressure faces of the blade equal at the trailing edge. Calculated results for the propeller in steady inflow were taken as initialization values for the unsteady inflow calculation process. Calculations were carried out from the moment the propeller achieved steady rotation. At each time interval, a linear algebraic equation combined with Kutta condition was established on a key blade and solved numerically. Comparison between calculated results and experimental results indicates that this method is correct and effective.     

螺旋桨非定常性能的面元法预报

采用扰动速度势面元法预报螺旋桨非定常性能,桨叶、桨毂和尾涡面由双曲四边形面元进行离散,对时域内非定常问题的求解采用时间步进迭代方法,建立了桨叶随边非定常等压库塔条件的非线性迭代结构,使迭代求解更加有效、快速和稳定.预报结果与测试结果或其它数值结果比较是令人满意的.     

可调螺距螺旋桨水动力性能分析

利用面元法分析可调距螺旋桨的水动力性能.计算过程中,采用较为简捷的关于扰动速度势的基本积分微分方程,并采用双曲面形状的面元以消除面元间的的间隙,Newton-laphson迭代过程被用来在桨叶随边满足压力Kutta条件,使桨叶上下表面的的压力在随边有良好的一致性,同时用模拟物体真实行状的面元法来解决调距桨在螺距变化时的叶剖面畸变的问题.用Morino导出的解析计算公式来计算面元的影响系数,加快了数值计算的速度.以无厚度线性尾涡模拟桨叶泄出涡.调距螺旋桨最佳转轴位置由理论方法求出,使得桨叶的转叶矩为零.计算过程中计入了桨毂的影响,并分析了桨毂对桨叶表面压力分布的影响.最后给出了调矩螺旋桨水动力性能随随螺距的变化规律,并和试验结果作了比较分析.     

螺旋桨水动力性能的数值预报方法

基于速度势的低阶面元法预报螺旋桨的水动力性能。选用四边形双曲面元对桨叶进行离散以消除面元间的缝隙,基本积分方程由格林公式导出。在面元上布置等强度源汇和偶极子。采用线性尾涡并在每个尾涡面元上布置等强度的偶极子。利用Newton-Raphson迭代过程满足桨叶随边非线性等压kutta条件,使桨叶上下表面的压力在随边处一致。利用Morino计算影响函数的解析公式,采用Yanagizawa方法求得物体表面上的速度分布,并对普通桨和大侧斜桨进行了数值预报。     

二维水翼型空化流的数值计算(英文)

In order to predict the effects of cavitation on a hydrofoil, the state equations of the cavitation model were combined with a linear viscous turbulent method for mixed fluids in the computational fluid dynamics (CFD) software FLUENT to simulate steady cavitating flow. At a fixed attack angle, pressure distributions and volume fractions of vapor at different cavitation numbers were simulated, and the results on foil sections agreed well with experimental data. In addition, at the various cavitation numbers, the vapor fractions at different attack angles were also predicted. The vapor region moved towards the front of the airfoil and the length of the cavity grew with increased attack angle. The results show that this method of applying FLUENT to simulate cavitation is reliable.     

螺旋桨非定常性能预估的面元法

本文建立了一个预估螺旋桨非定常性能的基于速度势的非定常面元法,该方法中采用了双曲面元,避免了面元之间的缝隙,并采用迭代方法实现非线性的等压库塔条件。文中以第22届国际水池会议(ITTC)推进技术委员会推荐的HSP桨与D4679桨和挪威船舶技术研究所(MARINTEK)提供的PF-W-B桨为算例进行了考核计算,与试验结果和其他研究工作者的计算结果比较表明,螺旋桨的非定常性能预报的结果是令人满意的。     

面元法预报螺旋桨表面非定常压力分布

本文建立了扰动速度势面元法预报螺旋桨表面非定常压力分布的理论和数值方法。该方法把桨叶和桨毂表面离散为若干四边形双曲面元,每个面元上布置等强度源汇和偶极子分布,螺旋桨尾涡面也离散为布置等强度偶极子的四边形双曲面元。所有的时域参数通过傅里叶级数展开转化为频域参数,使得在时间域内的求解转化为每一谐调阶上的求解。桨叶随边处通过迭代和采用广义逆矩阵方法在每一谐调阶上实现非线性等压库塔条件。桨叶表面非定常压力     

基于面元法的吊舱推进器定常性能研究

基于势流理论面元法建立了吊舱推进器定常性能的计算方法.分别建立螺旋桨和吊舱的积分方程,通过在表面上布置双曲面元将方程离散为以面元上偶极强度为未知量的矩阵.螺旋桨和吊舱之间的相互影响通过迭代计算来处理.Newton-Raphson迭代过程被用来在桨叶随边满足压力Kutta条件.为避免数值求导中的奇异性,用柳泽(Yanagizawa)方法求得物体表面的速度分布.支架作为升力体处理,并通过迭代计算更新支架的尾涡形状.计算了拖式吊舱推进器的定常水动力性能,与实验结果的比较表明,计算误差在5%以内.分析了舱体对螺旋桨的影响,舱体的伴流会引起螺旋桨的载荷增大.     

面向AUV自主回收的拖曳装置水动力特性研究

本文根据无人水面艇(USV)回收自主水下机器人AUV需求,设计了一款V型拖曳装置(V型翼)。通过STAR-CCM+流体仿真分析软件,在航速3 kn情况下,采用空间拘束法求解了V型翼的部分水动力系数,建立了V型翼水动力模型,并进行运动稳定性分析。外场试验数据分析结果显示,稳定拖曳状态下,舵角和V型翼纵倾角具有响应关系,对其进行公式推导,将计算值与实测数据进行对比,两者吻合程度较好。